3 years ago

-10.35/23/24 what is my answer

1 answer:

exis [7]3 years ago

6 0

-10.35/23= -0.45 -0.45/24= -0.01875

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The equation is separable, so solving it is trivial:

$\dfrac{\mathrm dy}{\mathrm dt}=ky\implies\dfrac{\mathrm dy}y=k\,\mathrm dt$

Integrating both sides gives

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Given $y(0)=24$ and $y(1)=18$ , we find

$24=C$

$18=Ce^k=24e^k\implies e^k=\dfrac34\implies k=ln\dfrac34$

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